Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 - operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(4, 12, 2)
(7, 42, 14)
Option 1: (19, 62, 11)
Option 2: (25, 29, 5)
Option 3: (9, 26, 4)
Option 4: (15, 44, 9)
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Correct Answer: (9, 26, 4)
Solution :
Given:
(4, 12, 2); (7, 42, 14)
The pattern is as follows –
(4, 12, 2)→(4 + 2) × 2 = 6 × 2 = 12
(7, 42, 14)→(7 + 14) × 2 = 21 × 2 = 42
Let's check the options –
First option:
(19, 62, 11)→(19 + 11) × 2 = 30 × 2 = 60 ≠ 62
Second option:
(25, 29, 5)→(25 + 5) × 2 = 30 × 2 = 60 ≠ 29
Third option:
(9, 26, 4)→(9 + 4) × 2 = 13 × 2 = 26
Fourth option:
(15, 44, 9)→(15 + 9) × 2 = 24 × 2 = 48 ≠ 44
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.
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